The aim of the algorithm is to find a square root of one, other than and ; such a will lead to a factorization of, as in other factoring algorithms like the quadratic sieve.

3072 bits is the suggested key length for systems based on factoring and integer discrete logarithms which aim to have security equivalent to a 128 bit symmetric cipher.

Though he is also concerned with freeing dance from pedestrian modes of activity, Merce Cunningham has selected a very different method for achieving his aim.

Accordingly, it is the aim of this essay to advance a new theory of imitation ( which I shall call mimesis in order to distinguish it from earlier theories of imitation ) and a new theory of invention ( which I shall call symbol for reasons to be stated hereafter ).

For what we propose, however, a psychoanalyst is not necessary, even though one aim is to enable the reader to get beneath his own defenses -- his defenses of himself to himself.

William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.

Nature's aim, different from ours, is to provide for the coming generation.

My aim in mentioning this factor obviously is not to give license to `` wild therapy '' but rather to encourage us to use the time-honored clinical casework skills we already possess, and to use them with greater confidence, precision, and professional pride.

The aim is to collect a very broad range of physical, chemical, morphological, and structural data for crystals on an encyclopedic scale and to seek all possible useful and revealing correlations of properties with internal structure.

Critical evaluation of all data compiled is not a primary aim of this project.

That much of what he calls folklore is the result of beliefs carefully sown among the people with the conscious aim of producing a desired mass emotional reaction to a particular situation or set of situations is irrelevant.

As a finale is appended a close-up of one of the band taking aim and firing his revolver straight at the audience.

The end or aim of the action, of course, is also important, especially where it is not alone a matter of changing community customs but of the use of deadly economic power to intimidate a person from stepping forward to claim his legal rights, e.g., against Negroes who register to vote in Fayette County, Tennessee, at the present moment.

but my primary aim is to transcribe what Englishmen themselves are saying and writing and implying about the Roman and Anglican Churches and about the present religious state of England.

The Government of Armenia's stated aim is to build a Western-style parliamentary democracy as the basis of its form of government.

* 1925 – Plaid Cymru is formed with the aim of disseminating knowledge of the Welsh language that is at the time in danger of dying out.

* 1971 – The first Pacific Islands Forum ( then known as the " South Pacific Forum ") is held in Wellington, New Zealand, with the aim of enhancing cooperation between the independent countries of the Pacific Ocean.

In fact, Fitzmyer believes that the preface of Luke should only be “ the starting point in the discussion of the aim of Luke-Acts .” Because the author ’ s intended purpose for the Book of Acts is not that straightforward, scholars have put forth four main claims to address this.

Generally the shotguns are regulated to hit the point of aim at a given distance, usually the maximum expected range since that is the range at which a full choke would be used, and where precise regulation matters most.

Reforms are usually proposed by thinkers who aim to redress societal ills or institute societal changes, most often through a change in the education of the members of a class of people — the preparation of a ruling class to rule or a working class to work, the social hygiene of a lower or immigrant class, the preparation of citizens in a democracy or republic, etc.

When researchers look at an unknown illness such as schizophrenia, they usually aim for the big target-the aetiology.

Forest ecologists concentrate on forest patterns and processes, usually with the aim of elucidating cause and effect relationships.

The primary aim of the IN was to enhance the core telephony services offered by traditional telecommunications networks, which usually amounted to making and receiving voice calls, sometimes with call divert.

Iteration means the act of repeating a process usually with the aim of approaching a desired goal or target or result.

Mandatory collection laws set recycling targets for cities to aim for, usually in the form that a certain percentage of a material must be diverted from the city's waste stream by a target date.

The main aim when pruning fruit trees is usually to obtain a decent crop of fruit rather than a tree with an abundance of lush yet unproductive foliage.

Descartes and dualism aim to prove the actual existence of reality as opposed to a phantom existence ( as well as the existence of God in Descartes ' case ), using the realm of ideas merely as a starting point, but solipsism usually finds those further arguments unconvincing.

Napoleon invariably sought to achieve decision in battle, with the sole aim of utterly destroying his opponent, usually achieving success through superior manoeuvre.

The aim of the torture was usually not acquiring military information ; rather, it was to break the will of the prisoners, both individually and as a group.

For a novice player the difference ( i. e. experience, not taking into account the actual skill ) between a human opponent and a computer controlled opponent may be near nil, however for a skilled player the lack of human intelligence is usually easily noticed in most bot implementations ; regardless of the actual skill of the bot — which lack of intelligence can be at least somewhat compensated for in terms of e. g. extreme ( superhuman ) accuracy and aim.

All current antibiotics aim to kill the individual bacteria in one manner or another ( by inhibiting synthesis of new bacteria, usually ).

This regulation includes the officially stated aim of keeping Finland Swedish close to the Swedish as spoken in Sweden and strongly phrased advice against loanwords and calques from Finnish, which are usually incomprehensible to Swedes.

A series of three or more treatments, typically at intervals of one to seven days, is usually recommended if a chronic condition is being addressed, and regular treatments on an on-going basis can be used with the aim of maintaining well-being.

Innovation in palissage ( training of the vine, usually along a trellis, and often referred to as " canopy management ") and pruning and thinning methods ( which aim to optimize the Leaf Area / Fruit ( LA / F ) ratio relative to a vineyard's microclimate ) have largely replaced more general, traditional concepts like " yield per unit area " in favor of " maximizing yield of desired quality ".

Social housing is an umbrella term referring to rental housing which may be owned and managed by the state, by non-profit organizations, or by a combination of the two, usually with the aim of providing affordable housing.

" Underclocking " can also be performed on graphics card processors ( graphics processing units ; GPUs ), usually with the aim of reducing heat output.

This then allows organizations to develop plans on how to make improvements or adapt specific best practices, usually with the aim of increasing some aspect of performance.

Care is usually provided once or twice a day with the aim of keeping frail or disabled people healthy and independent though can extend to full-time help by a live-in nurse or carer.

Although the stated aim is to consume one drink at each of the 27 stops, most participants stop at a handful of stations, usually beginning at Paddington and moving anti-clockwise towards Temple.

An endgame study, or just study, is a composed chess position — that is, one that has been made up rather than one from an actual game — presented as a sort of puzzle, in which the aim of the solver is to find a way for one side ( usually White ) to win or draw, as stipulated, against any moves the other side plays.

The aim is thought to have been to please the German occupational force, though no other Danish newspaper took such steps at the time — usually it was enough to keep within the newly-introduced censorship.

The strategic aim of obtaining the bishop pair without conceding the doubled pawns fails, for after e. g., 4 ... Bxc3 5. Bxc3 Ne4, White does not get to keep both bishops, and fair trades are usually not in White's interests since White has an advantage in space.